On Strong Lefschetz Property of 0-dimensional complete intersections
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912833169522688 |
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| author | Wang, Zhenjian |
| author_facet | Wang, Zhenjian |
| contents | We prove that a homogeneous 0-dimensional complete intersection satisfies the Strong Lefschetz Property (SLP) in degree 1 if and only if its associated form has nonzero Hessian. The result is essentially known in the literature, but our proof is different compared with the previous ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07874 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Strong Lefschetz Property of 0-dimensional complete intersections Wang, Zhenjian Algebraic Geometry Commutative Algebra Primary 14M10, Secondary 13A02, 13E10 We prove that a homogeneous 0-dimensional complete intersection satisfies the Strong Lefschetz Property (SLP) in degree 1 if and only if its associated form has nonzero Hessian. The result is essentially known in the literature, but our proof is different compared with the previous ones. |
| title | On Strong Lefschetz Property of 0-dimensional complete intersections |
| topic | Algebraic Geometry Commutative Algebra Primary 14M10, Secondary 13A02, 13E10 |
| url | https://arxiv.org/abs/2601.07874 |